Search a number
-
+
103553125405014 = 23172344140292159
BaseRepresentation
bin10111100010111001010111…
…010000010101000101010110
3111120122120201100121201021110
4113202321113100111011112
5102033103300100430024
61004123352111155450
730545315660566515
oct2742712720250526
9446576640551243
10103553125405014
112aaa46a773744a
12b745358215b86
1345a2030214cbc
141b7ddd878a67c
15be89c3aa2629
hex5e2e57415156

103553125405014 has 32 divisors (see below), whose sum is σ = 228823274557440. Its totient is φ = 31074765679232.

The previous prime is 103553125405013. The next prime is 103553125405061. The reversal of 103553125405014 is 410504521355301.

It is a super-3 number, since 3×1035531254050143 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103553125405013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22070143734 + ... + 22070148425.

It is an arithmetic number, because the mean of its divisors is an integer number (7150727329920).

Almost surely, 2103553125405014 is an apocalyptic number.

103553125405014 is an abundant number, since it is smaller than the sum of its proper divisors (125270149152426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103553125405014 is a wasteful number, since it uses less digits than its factorization.

103553125405014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44140292204.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 103553125405014 in words is "one hundred three trillion, five hundred fifty-three billion, one hundred twenty-five million, four hundred five thousand, fourteen".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 2346 44140292159 88280584318 132420876477 264841752954 750384966703 1015226719657 1500769933406 2030453439314 2251154900109 3045680158971 4502309800218 6091360317942 17258854234169 34517708468338 51776562702507 103553125405014